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A002840
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Number of polyhedral graphs with n edges.
(Formerly M0339 N0129)
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3
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1, 0, 1, 2, 2, 4, 12, 22, 58, 158, 448, 1342, 4199, 13384, 43708, 144810, 485704, 1645576, 5623571, 19358410, 67078828, 233800162, 819267086, 2884908430
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OFFSET
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6,4
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COMMENTS
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The subsequence of primes begins a(9) = a(10) = 2, a(24) = 5623571, no more through a(29)[ Jonathan Vos Post, Feb 5, 2011].
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REFERENCES
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M. B. Dillencourt, Polyhedra of small orders and their Hamiltonian properties. Tech. Rep. 92-91, Info. and Comp. Sci. Dept., Univ. Calif. Irvine, 1992.
Duijvestijn, A. J. W.; Federico, P. J.; The number of polyhedral (3-connected planar) graphs. Math. Comp. 37 (1981), no. 156, 523-532.
P. J. Federico, Enumeration of polyhedra: the number of 9-hedra, J. Combin. Theory, 7 (1969), 155-161.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
T. R. S. Walsh, personal communication.
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LINKS
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Table of n, a(n) for n=6..29.
G. P. Michon, Counting Polyhedra
Eric Weisstein's World of Mathematics, Polyhedral Graph
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CROSSREFS
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Cf. A002841, A000944.
Sequence in context: A112362 A134720 A019225 * A182894 A007181 A100238
Adjacent sequences: A002837 A002838 A002839 * A002841 A002842 A002843
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KEYWORD
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nonn,nice
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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